(6-i)+(7+3i)

less than a minute read Jun 16, 2024

Simplifying Complex Numbers: (6 - i) + (7 + 3i)

This article will guide you through the process of simplifying the expression (6 - i) + (7 + 3i), which involves adding two complex numbers.

Understanding Complex Numbers

Complex numbers are numbers that can be expressed in the form a + bi, where 'a' and 'b' are real numbers, and 'i' is the imaginary unit, defined as the square root of -1.

Adding Complex Numbers

To add complex numbers, we simply add the real parts and the imaginary parts separately.

Solution

Let's break down the expression:

(6 - i) + (7 + 3i)

First, group the real and imaginary terms:

(6 + 7) + (-1 + 3)i

Now, perform the additions:

13 + 2i

Final Answer

Therefore, the simplified form of (6 - i) + (7 + 3i) is 13 + 2i.